Diagonals of separately pointwise Lipschitz mappings |
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| Authors: | Volodymyr V. Mykhaylyuk Oleksandr V. Sobchuk |
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| Affiliation: | 1. Chernivtsi National University, 2, Kotsyubyns’kyi Str., Chernivtsi, 58012, Ukraine
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| Abstract: | ![]()
It is proved that, for a metric space X and a normed space Z, the diagonals of pointwise Lipschitz mappings f : X 2? →?Z are exactly stable pointwise limits of pointwise Lipschitz mappings. The joint Lipschitz property of separately pointwise Lipschitz mappings f : X?×?Y?→?Z, where X, Y, and Z are metric spaces, is investigated. |
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